Simplify (-6- square root of 36-20)/(2(1))

$\frac{- 6 - \sqrt{36 - 20}}{2 (1)}$

Step 1

Simplify the numerator.

Subtract $20$ from $36$ .

$\frac{- 6 - \sqrt{16}}{2 (1)}$

Rewrite $16$ as $4^{2}$ .

$\frac{- 6 - \sqrt{4^{2}}}{2 (1)}$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{- 6 - 1 \cdot 4}{2 (1)}$

Multiply $- 1$ by $4$ .

$\frac{- 6 - 4}{2 (1)}$

Subtract $4$ from $- 6$ .

$\frac{- 10}{2 (1)}$

Step 2

Simplify the expression.

Multiply $2$ by $1$ .

$\frac{- 10}{2}$

Divide $- 10$ by $2$ .

$- 5$